Each person would receive 6 chocolate truffles and 4 caramel truffles because 126÷21=6 and 84÷21=4.
1% as a fraction is 1/100
1% as a decimal is 0.01
In mathematics, number sequencing of the same pattern are called progression. There are three types of progression: arithmetic, harmonic and geometric. The pattern in arithmetic is called common difference, while the pattern in geometric is called common ratio. Harmonic progression is just the reciprocal of the arithmetic sequence.
The common ratio is denoted as r. For values of r<1, the sum of the infinite series is equal to
S∞ = A₁/(1-r), where A1 is the first term of the sequence. Substituting A₁=65 and r=1/6:
S∞ = A₁/(1-r) = 65/(1-1/6)
S∞ = 78
Given:
M is the midpoint of AB.
M(2,0) and A(-3, 3).
To find:
The coordinates of point B.
Solution:
Midpoint formula:
Let the coordinates of point B are (a,b). Then, using the midpoint formula, we get
On comparing both sides, we get
And,
Therefore, the coordinates of point B are (7,-3).
